146543972850 has 480 divisors, whose sum is σ = 456313651200. Its totient is φ = 34569763200.

The previous prime is 146543972833. The next prime is 146543972851. The reversal of 146543972850 is 58279345641.

It is a happy number.

146543972850 is a `hidden beast` number, since 1 + 4 + 6 + 543 + 97 + 2 + 8 + 5 + 0 = 666.

146543972850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (146543972851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 333812931 + ... + 333813369.

It is an arithmetic number, because the mean of its divisors is an integer number (950653440).

It is a 1-persistent number, because it is pandigital, but 2⋅146543972850 = 293087945700 is not.

Almost surely, 2^146543972850 is an apocalyptic number.

146543972850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146543972850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228156825600).

146543972850 is an abundant number, since it is smaller than the sum of its proper divisors (309769678350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146543972850 is a wasteful number, since it uses less digits than its factorization.

146543972850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 146543972850 in words is "one hundred forty-six billion, five hundred forty-three million, nine hundred seventy-two thousand, eight hundred fifty".